628397760 has 112 divisors (see below), whose sum is σ = 2015227872. Its totient is φ = 165888000.

The previous prime is 628397729. The next prime is 628397813. The reversal of 628397760 is 67793826.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93720 + ... + 100200.

It is an arithmetic number, because the mean of its divisors is an integer number (17993106).

Almost surely, 2^628397760 is an apocalyptic number.

628397760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007613936).

628397760 is an abundant number, since it is smaller than the sum of its proper divisors (1386830112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

628397760 is a wasteful number, since it uses less digits than its factorization.

628397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 628397760 is about 25067.8630920148. The cubic root of 628397760 is about 856.5345309042.

The spelling of 628397760 in words is "six hundred twenty-eight million, three hundred ninety-seven thousand, seven hundred sixty".